On the calculation of the linear stability parameter of periodic orbits
C. Barberà 1, 2 and
E. Athanassoula 2
Received 2 March 1998 / Accepted 25 May 1998
In this paper we propose an improved method for calculating Hénon's stability parameter, which is based on the differential of the Poincaré map using the first variational equation. We show that this method is very accurate and give some examples where it gives correct results, while the previous method could not cope.
Key words: methods: analytical methods: numerical celestial mechanics, stellar dynamics galaxies: kinematics and dynamics
Send offprint requests to: C. Barberà
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© European Southern Observatory (ESO) 1998
Online publication: July 20, 1998